I have 10 nodes, 128 GB of RAM each, available to me. How much time should it take to calculate the Gröbner basis with modStd ? I need only an approximate idea. Gave it 7,000 hours of computer time. Will that be enough? The system is 14.1 MB in size. It comes from quantum chemistry.

14.1 MB was the size of the system after interred(). I inserted 12 more relations and 12 new variables, did interred(again), and the size of the system became "only" 422 KB. That gives me hope. I have given 7,000 hours to the calculation, in a computer of 10 nodes, 128 GB RAM each, so I hope for the best.

The system comes, as I said, from quantum chemistry. Turned one single differential equation into a system of polynomial equations.